What is the Least Common Multiple of 27235 and 27250?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 27235 and 27250 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27235 and 27250, than apply into the LCM equation.

GCF(27235,27250) = 5
LCM(27235,27250) = ( 27235 × 27250) / 5
LCM(27235,27250) = 742153750 / 5
LCM(27235,27250) = 148430750

Least Common Multiple (LCM) of 27235 and 27250 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27235 and 27250. First we will calculate the prime factors of 27235 and 27250.

Prime Factorization of 27235

Prime Factorization of 27250

Now multiplying the highest exponent prime factors to calculate the LCM of 27235 and 27250.

LCM(27235,27250) = 5³ × 13¹ × 419¹ × 2¹ × 109¹
LCM(27235,27250) = 148430750